Selected works of Richard P. Stanley

著者

書誌事項

Selected works of Richard P. Stanley

Patricia Hersh ... [et al.], editors

American Mathematical Society, c2017

大学図書館所蔵 件 / 全10件

この図書・雑誌をさがす

注記

Other editors: Thomas Lam, Pavlo Pylyavskyy, Victor Reiner

Includes bibliographical references and index

内容説明・目次

内容説明

Richard Stanley's work in combinatorics revolutionized and reshaped the subject. Many of his hallmark ideas and techniques imported from other areas of mathematics have become mainstays in the framework of modern combinatorics. In addition to collecting several of Stanley's most influential papers, this volume also includes his own short reminiscences on his early years, and on his celebrated proof of The Upper Bound Theorem.

目次

The early years How the upper bound conjecture was proved Theory and application of plane partitions: Part 1 Theory and application of plane partitions. Part 2 Modular elements of geometric lattices Supersolvable lattices Linear homogeneous diophantine equations and magic labelings of graphs Acyclic orientations of graphs Combinatorial reciprocity theorems The upper bound conjecture and Cohen-Macaulay rings Combinatorial reciprocity theorems Binomial posets, Mobius inversion, and permutation enumeration Eulerian partitions of a unit hypercube, voir note ci-apres Hilbert functions of graded algebras The number of faces of a simplicial convex polytope Differential posets Weyl groups, the hard Lefschetz theorem, and the Sperner property Two combinatorial applications of the Aleksandrov-Fenchel inequalities Linear diophantine equations and local cohomology Some aspects of groups acting on finite posets with A. Bjorner and A. Garsia, An introduction to Cohen-Macaulay partially ordered sets An introduction to combinatorial commutative algebra On the number of reduced decompositions of elements of Coxeter groups A baker's dozen of conjectures concerning plane partitions Unimodality and Lie superalgebras Two poset polytopes Generalized $H$-vectors, intersection cohomology of toric varieties, and related results Differentiably finite power series Log-concave and unimodal sequences in algebra, combinatorics, and geometry Some combinatorial properties of Jack symmetric functions Subdivisions and local $h$-vectors with S. Billey and W. Jokusch, Some combinatorial properties of Schubert polynomials with S. Fomin, Schubert polynomials and the nilCoxeter algebra Flag $f$-vectors and the $cd$-index A symmetric function generalization of the chromatic polynomial of a graph Irreducible symmetric group characters of rectangular shape Increasing and decreasing subsequences and their variants Promotion and evacuation A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group.

「Nielsen BookData」 より

詳細情報

ページトップへ